Existence results for the $A-\varphi$ magnetodynamic formulation of the Maxwell system

The $A/\varphi$ magnetodynamic Maxwell system given in its potential and space/time formulation is a popular model considered in the engineering community. We establish exitence of strong solutions with the help of the theory of Showalter on degenerated parabolic problems; using energy estimates, existence of weak solutions are also deduced.

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Field	Value
Source	https://hal.science/hal-00917597
Author	Nicaise, Serge
Maintainer	CCSD
Last Updated	May 7, 2026, 20:21 (UTC)
Created	May 7, 2026, 20:21 (UTC)
Identifier	hal-00917597
Language	en
Rights	https://about.hal.science/hal-authorisation-v1/
contributor	Laboratoire de Mathématiques et leurs Applications de Valenciennes - EA 4015 (LAMAV) ; Université de Valenciennes et du Hainaut-Cambrésis (UVHC)-Centre National de la Recherche Scientifique (CNRS)
creator	Nicaise, Serge
date	2013-12-12T00:00:00
harvest_object_id	fcf9e2e0-f760-4274-8878-7ae8afe32f4e
harvest_source_id	3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title	test moissonnage SELUNE
metadata_modified	2024-04-26T00:00:00
set_spec	type:REPORT